Stable periodic oscillations in systems with monotonous hysteresis nonlinearity
Random rearrangements in functional spaces.
We give an operator approach to several inequalities of S. Kwapien and C. Schütt, which allows us to obtain more general results.
The Banach-Saks property in rearrangement invariant spaces
This paper studies the Banach-Saks property in rearrangement invariant spaces on the positive half-line. A principal result of the paper shows that a separable rearrangement invariant space E with the Fatou property has the Banach-Saks property if and only if E has the Banach-Saks property for disjointly supported sequences. We show further that for Orlicz and Lorentz spaces, the Banach-Saks property is equivalent to separability although the separable parts of some Marcinkiewicz spaces fail the...
RUC systems in rearrangement invariant spaces
We present necessary and sufficient conditions for a rearrangement invariant function space to have a complete orthonormal uniformly bounded RUC system.
Page 1